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Finding the Fourth Proportional to 116,282.65, 160,468 and 65,295.79

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Solution

The fourth proportional to 116,282.65, 160,468 and 65,295.79 is: 90,107.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,282.65 : 160,468 = 65,295.79 : x
  2. Step 2: Convert to fraction form
    116,282.65/160,468 = 65,295.79/x
  3. Step 3: Cross multiply
    116,282.65x = 160,468 × 65,295.79
  4. Step 4: Simplify right side
    116,282.65x = 10,477,884,829.72
  5. Step 5: Solve for x
    x = 10,477,884,829.72/116,282.65
  6. Step 6: Final answer
    x = 90,107.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.